1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

6.3 • THE CAUCHY- GOURSAT THEOREM 223

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(a) The contour Ki and domain Di. (b) The contour K 1 and domain D 2.

Figure 6.24 The cuts Li and £.i and t he contours K1 and K2 used to prove the
deformation of contour theorem.

We now state as a corollary an important result that is implied by the

deformation of contour theorem. This result occurs several times in the theory

to be developed and is an important tool for computations. You may want to

compare the proof of Corollary 6.1 with your solution to Exercise 9 from Section

6.2.